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That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain.
Ex: y = x2 is the original relation
the inverse is y = =/- square root x
Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y.
The notation is the original relation if y = f(x) but the inverse is
denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
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Suppose that y varies with x Write an equation for the inverse variation y 4 when x 7?
If y varies with x, then there cannot be an inverse variation between x and y!
What is the inverse of y equals x?
To find the inverse simply switch the x's with the y's so... inverse of y=x is x=y
In an inverse relationship how do the values of y change as the values of x increase?
Y would decrease in value as X increases in value.
What is the inverse operation multiplying by 25?
The inverse of multiplication is division. y = 25x Substitute y for x and x for y to determine the inverse: x = 25y y = x/25
If y14 then x8 find y when x12?
It is not possible to answer the question since there is no information as to whether the relationship between x and y is one of direct proportion, inverse proportion or something else.
What is observed in a scatter plot when there is an inverse relationship between x and y?
no
What is observed in a scatter-plot that has an inverse relationship between x and y?
A right hyperbola shape.
What happens when there is an inverse relationship between x and y?
x goes up by 1,2,3,4, etc. and y goes up at a steady rate in the graph its a stright line
Suppose that y varies with x Write an equation for the inverse variation y 4 when x 7?
If y varies with x, then there cannot be an inverse variation between x and y!
Is the relationship between x and y always linear?
The relationship between X and Y is linear only if it is of a form: Y=mX+b, or Y=(m/X)+b If they are related in other forms, such as: Y=X2, or Y=nX5+mX3+b, or Y= SQRT(X), or Y= COS (X), or many other relationships, it is not linear. * * * * * Nearly correct. Y=(m/X)+b is not a linear relationship but a [translated] inverse relationship. The curve of the graph is a hyperbola, not a straight line.
Which of the following is observed in a scatter plot when there is an inverse relationship between x and y?
Points slope down as it moves to the right
What is the inverse of y equals x?
To find the inverse simply switch the x's with the y's so... inverse of y=x is x=y
In an inverse relationship how do the values of y change as the values of x is decreased?
The value of y increases, such that x*y remains a constant.
What is a inverse realtionship?
In an inverse relationship, one variable decreases while the other increases. As an equation, a basic inverse relationship looks like x = 1/y.
What is an inverse relation and how do you find an inverse relation given a function?
Given a function that is one-to-one and onto (a bijection), an inverse relationship is a function that reverses the action of the first function.A simple example to illustrate:if f(x) = x + 2, then g(x) = x - 2 is its inverse. fg(x) = x = gf(x).To find an inverse relationship of a function f(x)write y = f(x) as a function of xswap x and ymake the [new] y the subject of the formulathat is the inverse function.Going back to f(x) = x + 2write y = x + 2swap: x = y + 2make y the subject of the above equation: y = x - 2and so f'(x) is x - 2 where f'(x) represent the inverse of f(x).
What is the inverse to the statement x equals y?
x=y is the identity. It is its own inverse. So the inverse is y=x.
How does finding an inverse related to a reciprocal?
A reciprocal equation is usually y = k/x where k is a constant. This is an inverse relationship because y is equal to k divided by x.
